332334255065220 has 288 divisors, whose sum is σ = 1085178244550400. Its totient is φ = 82067776846848.

The previous prime is 332334255065213. The next prime is 332334255065221. The reversal of 332334255065220 is 22560552433233.

332334255065220 is a `hidden beast` number, since 3 + 3 + 2 + 3 + 3 + 42 + 550 + 6 + 52 + 2 + 0 = 666.

It is a super-2 number, since 2×332334255065220² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (332334255065221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45351009 + ... + 52166871.

It is an arithmetic number, because the mean of its divisors is an integer number (3767980015800).

Almost surely, 2^{332334255065220} is an apocalyptic number.

332334255065220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332334255065220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542589122275200).

332334255065220 is an abundant number, since it is smaller than the sum of its proper divisors (752843989485180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

332334255065220 is a wasteful number, since it uses less digits than its factorization.

332334255065220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6816219 (or 6816214 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 45.

The spelling of 332334255065220 in words is "three hundred thirty-two trillion, three hundred thirty-four billion, two hundred fifty-five million, sixty-five thousand, two hundred twenty".